Puzzle signature
Medium profile: 15 cages · 8 distinct cage totals · target range 3–18 · 10 two-cell cages · logic score 116. Use this profile as a quick map of the board's strongest cage constraints before you replay the round.
Puzzle analysis
This PUZRU archive puzzle uses 15 connected sum cages across a 6×6 grid with 6 carried fixed values. Its cage profile contains 10 two-cell, 4 three-cell and 1 four-cell cages. Target sums range from 3 to 18, with an average cage target of 8.4.
The generator assigned a logic score of 116, which PUZRU classifies as Medium. The archived quality record verifies one exact solution and a logical solve path without random guessing.
What makes this round distinct
This board combines 8 distinct cage totals. It contains 5 low-target cages (5 or below) and 1 high-target cage (18 or above), creating a round-specific balance between constrained low combinations and high-digit pressure. Its 10 two-cell cages create especially short candidate lists that interact tightly with row and column exclusions.
Logical deduction trace
- R1C2 starts fixed at 5 from the Chain carry.
- R2C4 starts fixed at 1 from the Chain carry.
- R3C1 starts fixed at 4 from the Chain carry.
- R4C5 starts fixed at 6 from the Chain carry.
- R5C6 starts fixed at 2 from the Chain carry.
- R6C3 starts fixed at 3 from the Chain carry.
- Cage R4C2, R5C1, R5C2 totals 7; this removes 1/4 from R4C2.
- Cage R4C2, R5C1, R5C2 totals 7; this removes 5/6 from R5C1.
- Cage R4C2, R5C1, R5C2 totals 7; this removes 3/6 from R5C2.
- Cage R2C5, R2C6 totals 5; this removes 3/4/5 from R2C5.
- Cage R2C5, R2C6 totals 5; this removes 4/5/6 from R2C6.
- Cage R2C1, R2C2, R3C2 totals 13; this removes 2 from R2C1.
- Cage R2C1, R2C2, R3C2 totals 13; this removes 3 from R2C2.
- Cage R2C1, R2C2, R3C2 totals 13; this removes 1 from R3C2.
- Cage R4C4, R5C4 totals 11; this removes 2/3/4 from R4C4.
- Cage R4C4, R5C4 totals 11; this removes 3/4/5 from R5C4.
- Cage R2C3, R2C4, R3C3 totals 11; this removes 2/5/6 from R2C3.
- Cage R2C3, R2C4, R3C3 totals 11; this removes 1/2/5 from R3C3.
- Cage R5C6, R6C6 totals 7; this removes 1/4/6 from R6C6.
- Cage R1C1, R1C2 totals 7; this removes 1/3/6 from R1C1.
- Cage R4C3, R5C3, R6C3 totals 10; this removes 4/5 from R4C3.
- Cage R4C3, R5C3, R6C3 totals 10; this removes 1/4 from R5C3.
- Cage R3C4, R3C5, R4C5, R5C5 totals 18; this removes 2 from R3C4.
- Cage R3C4, R3C5, R4C5, R5C5 totals 18; this removes 3 from R5C5.
How to approach this 6×6 puzzle
- Start with the two-cell cages: their shorter combination lists make them efficient places to eliminate candidates against row and column restrictions.
- Pay attention to the highest cage totals. In a 1–6 grid, large totals force several high digits and can quickly remove low candidates from those cells.
- Low-total cages are equally useful: only a small set of digit combinations can reach those sums without repeats elsewhere in the grid.
The live result
TEYAHSG became the Discoverer by submitting the first verified solution accepted by the global authority. After that moment, the shared 45-second contribution window remained open and the puzzle finished with 1 verified solver.
Six values continued into the Chain
The PUZRU world never resets to a completely unrelated board. Six solved positions from this puzzle were carried into the next puzzle as fixed values. For Puzzle #31, the carried values were 1 2 4 5 1 5.
This carry rule makes every puzzle both a standalone logic challenge and one link in an ongoing global sequence.
Chain proof
The public archive records the completed puzzle and its cryptographic Chain hash so later rounds can be linked back to the same history.
SaMxbtJ_Zwhq55fezUjZIwjy7xXu5W_099FrHX8Kpi0
Archive replay is unranked: it never changes the live Chain or leaderboard.